GCD of 309, 161, 584, 670 Calculator

Given Input numbers are 309, 161, 584, 670

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 309, 161, 584, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 161, 584, 670 is 1.

Therefore, GCD of numbers 309, 161, 584, 670 is 1

Given Input Data is 309, 161, 584, 670

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 309 is 3 x 103

Prime Factorization of 161 is 7 x 23

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 670 is 2 x 5 x 67

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(309, 161) = 49749

GCD(309, 161) = ( 309 x 161 ) / 49749

GCD(309, 161) = 49749 / 49749

GCD(309, 161) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 670

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 670) = 670

GCD(1, 670) = ( 1 x 670 ) / 670

GCD(1, 670) = 670 / 670

GCD(1, 670) = 1

GCD of 309, 161, 584, 670 is 1

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1. What is the GCD of 309, 161, 584, 670?

GCD of 309, 161, 584, 670 is 1

2. Where do I get the detailed procedure to find GCD of 309, 161, 584, 670?

You can find a detailed procedure to find GCD of 309, 161, 584, 670 on our page.

3. How to find GCD of 309, 161, 584, 670 on a calculator?

You can find the GCD of 309, 161, 584, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.